Flat Turn as an Admissible Extremal in the Optimal Rotation Control Problem for an Asymmetric Body

被引：0

作者：

Sirotin, A. N. ^{[1
]}

机构：

[1] State Univ Aerosp Technol, Moscow Aviat Inst, Moscow 125993, Russia

来源：

MECHANICS OF SOLIDS | 2012年 / 47卷 / 01期

基金：

俄罗斯基础研究基金会;

关键词：

optimal control; rotation; asymmetric rigid body; maximum principle;

D O I：

10.3103/S0025654412010013

中图分类号：

O3 [力学];

学科分类号：

08 ; 0801 ;

摘要：

The problem of optimal control of rotation of an asymmetric rigid body is studied. An integrally quadratic functional characterizing the total energy costs is taken as the criterion. It is shown that, under certain conditions, the problem has a nontrivial extremal corresponding to a 180-degree flat turn, i.e., rotation about an axis fixed in the inertial space. The obtained results are based on an analysis of the equations arising after the application of the Pontryagin maximum principle (PMP) formalism.

引用

页码：1 / 18

页数：18

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